Problem
A reaction that is of considerable importance in nature is the transformation of methane utilizing ozone, 3CH4(g) + 4O3(g) → 3CO2(g) + 6H2O(l). The above reaction is the main source for water in the stratosphere and is augmented by photochemical processes.
(a) Let us carry out the reaction in a laboratory at 298 K. If the standard heat of formation of ozone is 142 kJ/mol and those of carbon dioxide, water, and methane are, respectively, -393, -285, and -75 kJ/mol at 298 K, determine the standard heat of the overall reaction at 298 K. Compare this enthalpy change with the reaction of methane with oxygen in the previous problem.
(b) If the standard Gibbs free energy of the formation of ozone, carbon dioxide, water, and methane are, respectively, 163, -394, -237, and -50 kJ/mol at 298 K, calculate the standard free energy change of the overall reaction at 298 K.
(c) What will be the standard free energy change if the temperature is decreased to 278 K? Is the reaction more or less favorable at this temperature?
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.